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Bifurcation and symmetry breaking for a class of semilinear elliptic equations in an annulus |
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| Authors: | Francesca Gladiali Massimo Grossi Filomena Pacella P N Srikanth |
| Institution: | 1. Struttura dipartimentale di Matematica e Fisica, Universit?? di Sassari, via Vienna 2, 07100, Sassari, Italy 2. Dipartimento di Matematica, Universit?? di Roma ??La Sapienza??, P.le A. Moro 2, 00185, Rome, Italy 3. TIFR Centre for Applicable Mathematics, Sharada Nagar, Chikkabommasandra, Bangalore, 560065, Karnataka, India |
| Abstract: | In this paper we consider the problem $$\left\{ \begin{array}{ll} -\Delta u=u^p+\lambda u & \quad\hbox{ in }A,\\ u > 0&\quad \hbox{ in }A,\\ u=0 &\quad \hbox{ on }\partial A, \end{array}\right. $$ where A is an annulus of ${\mathbb{R}^N,N\ge2}$ and p?>?1. We prove bifurcation of nonradial solutions from the radial solution in correspondence of a sequence of exponents {p k } and for expanding annuli. |
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